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3884523696 = 243331431673
BaseRepresentation
bin1110011110001001…
…0010000010110000
3101000201102020202000
43213202102002300
530423414224241
61441242454000
7165155622654
oct34742220260
911021366660
103884523696
111713792169
12904b04300
1349ba1c841
1428bc94a64
1517b064eb6
hexe78920b0

3884523696 has 160 divisors (see below), whose sum is σ = 11553546240. Its totient is φ = 1248307200.

The previous prime is 3884523691. The next prime is 3884523757. The reversal of 3884523696 is 6963254883.

3884523696 is a `hidden beast` number, since 38 + 84 + 523 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7464960) is a multiple of the sum of its prime factors (1152).

It is not an unprimeable number, because it can be changed into a prime (3884523691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5771616 + ... + 5772288.

It is an arithmetic number, because the mean of its divisors is an integer number (72209664).

Almost surely, 23884523696 is an apocalyptic number.

3884523696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3884523696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776773120).

3884523696 is an abundant number, since it is smaller than the sum of its proper divisors (7669022544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3884523696 is a wasteful number, since it uses less digits than its factorization.

3884523696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3884523696 is about 62325.9472130188. The cubic root of 3884523696 is about 1571.9760499818.

The spelling of 3884523696 in words is "three billion, eight hundred eighty-four million, five hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 431 432 496 558 673 744 837 862 1116 1293 1346 1488 1674 1724 2019 2232 2586 2692 3348 3448 3879 4038 4464 5172 5384 6057 6696 6896 7758 8076 10344 10768 11637 12114 13361 13392 15516 16152 18171 20688 20863 23274 24228 26722 31032 32304 36342 40083 41726 46548 48456 53444 62064 62589 72684 80166 83452 93096 96912 106888 120249 125178 145368 160332 166904 186192 187767 213776 240498 250356 290063 290736 320664 333808 360747 375534 480996 500712 563301 580126 641328 721494 751068 870189 961992 1001424 1126602 1160252 1442988 1502136 1740378 1923984 2253204 2320504 2610567 2885976 3004272 3480756 4506408 4641008 5221134 5771952 6961512 7831701 8991953 9012816 10442268 13923024 15663402 17983906 20884536 26975859 31326804 35967812 41769072 53951718 62653608 71935624 80927577 107903436 125307216 143871248 161855154 215806872 242782731 323710308 431613744 485565462 647420616 971130924 1294841232 1942261848 3884523696